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Finding the Third Proportional to 137,180 and 195,791

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Solution

The third proportional to 137,180 and 195,791 is: 279,443.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,180 : 195,791 = 195,791 : x
  2. Step 2: Convert to fraction form
    137,180/195,791 = 195,791/x
  3. Step 3: Cross multiply
    137,180x = 195,791 × 195,791
  4. Step 4: Simplify right side
    137,180x = 38,334,115,681
  5. Step 5: Solve for x
    x = 38,334,115,681/137,180
  6. Step 6: Final answer
    x = 279,443.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.